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Representing Linear Transformations by Matrices

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Linear Algebra

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

Abstract

In this chapter we return to the ideas we introduced in Chapter 10 to represent a linear transformation T : ℝ 3 → ℝ 3 by a 3 x 3 matrix. There is, of course, nothing sacred about ℝ 3 and its standard basis, and we will show that these ideas have far wider applications.

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© 1998 Springer Science+Business Media New York

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Smith, L. (1998). Representing Linear Transformations by Matrices. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1670-4_11

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  • DOI: https://doi.org/10.1007/978-1-4612-1670-4_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7238-0

  • Online ISBN: 978-1-4612-1670-4

  • eBook Packages: Springer Book Archive

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